10232058672 has 200 divisors, whose sum is σ = 32996316672. Its totient is φ = 3034454400.

The previous prime is 10232058653. The next prime is 10232058709. The reversal of 10232058672 is 27685023201.

10232058672 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 2 + 0 + 586 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 662397 + ... + 677667.

Almost surely, 2^10232058672 is an apocalyptic number.

10232058672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10232058672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16498158336).

10232058672 is an abundant number, since it is smaller than the sum of its proper divisors (22764258000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10232058672 is a wasteful number, since it uses less digits than its factorization.

10232058672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15349 (or 15334 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 10232058672 in words is "ten billion, two hundred thirty-two million, fifty-eight thousand, six hundred seventy-two".